Fuzzy Stabilizer in IMTL-Algebras
نویسنده
چکیده
In this paper, we introduced two types of fuzzy stabilizers St R (F) and St ⊕ R (F) of a fuzzy set F and the stabilizer St ∨(F, G) of F with respect to G in IMTL-algebras. We proved that St R (F), St ⊕ R (F) and St ∨(F, G) are fuzzy filters of M. We investigated some properties of the stabilizers. By introducing the ⊗̃ operation of two fuzzy filters, we prove that ⊗̃ and St∨(·, ·) form an adjoint pair and the set of all fuzzy filters F (M) is a residuated lattice.
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